Question

makes on angle of θ5.00 oits direction of notion Determne its Speed (a) at this manant, and (b) 2cos akr aueeraton 1.05m/s2 (0335:

please answer !

Answer 1

a = acceleration = 1.05 m/s²

$\theta$ = angle of acceleration with the direction of motion or the tangent to circle = 25 deg

a_r = radial acceleration acting towards the center

a_t = tangential acceleration acting parallel to tangent

Radial acceleration is given as

a_r = a Sin$\theta$

a_r = 1.05 Sin25 = 0.44 m/s²

tangential acceleration is given as

a_t = a Cos$\theta$

a_t = 1.05 Cos25 = 0.95 m/s²

v = speed

radial acceleration is given as

a_r = v²/r

0.44 = v²/1.95

v = 0.93 m/s

b)

v_o = intial velocity = 0.93 m/s

v = final velocity after time "t"

a = acceleration = 0.95 m/s²

t = time

using the equation

v = v_o + a t

v = 0.93 + (0.95) (2)

v = 2.83 m/s